List of top Physics Questions on Vectors asked in JEE Main

If position vector is given as $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$ and if its signs are reversed, then which of the following physical quantity remains unaffected?

If $\vec{a}$ and $\vec{b}$ make an angle $\cos^{-1}\left(\frac{5}{9}\right)$ with each other, then \[ |\vec{a} + \vec{b}| = \sqrt{2} |\vec{a} - \vec{b}| \quad \text{for } |\vec{a}| = n |\vec{b}|. \] The integer value of $n$ is _____.

A vector has magnitude same as that of A = $-3\hat{i} + 4\hat{j}$ and is parallel to B = $4\hat{i} + 3\hat{j}$. The x and y components of this vector in the first quadrant are x and y respectively where:

$x = \_\_\_\_$.

Find the number of significant digits in the value 10.05

If $\vec{P}=3 \hat{i}+\sqrt{3} \hat{j}+2 \hat{k}$ and $\vec{Q}=4 \hat{i}+\sqrt{3} \hat{j}+25 \hat{k}$ then, The unit vector in the direction of $\vec{P} \times \vec{Q}$ is $\frac{1}{x}(\sqrt{3} i+\hat{j}-2 \sqrt{3} \hat{k})$ The value of $x$ is

When vector $\overrightarrow A = 2\hat i+3\hat J+2\hat k$ is subtracted from vector $\overrightarrow B$ , it gives a vector equal to $2\hat j$ . Then the magnitude of vector $\overrightarrow B$ will be :

The position vector of a particle related to time t is given by $\vec{r}=(10t\hat{i}+15t^2\hat{j}+7\hat{k})m$
The direction of net force experienced by the particle is :

A vector in x-y plane makes an angle of 30º with y-axis. The magnitude of y-component of vector is $2\sqrt3$. The magnitude of x -component of the vector will be :